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Finding the Fourth Proportional to 6,180.57, 9,258.50 and 3,714.05

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Solution

The fourth proportional to 6,180.57, 9,258.50 and 3,714.05 is: 5,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.57 : 9,258.50 = 3,714.05 : x
  2. Step 2: Convert to fraction form
    6,180.57/9,258.50 = 3,714.05/x
  3. Step 3: Cross multiply
    6,180.57x = 9,258.50 × 3,714.05
  4. Step 4: Simplify right side
    6,180.57x = 34,386,564.36
  5. Step 5: Solve for x
    x = 34,386,564.36/6,180.57
  6. Step 6: Final answer
    x = 5,563.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.